Theoretical Developmental Biology
Early mammalian development following fertilisation is an idiosyncratic process that is thought to depend on cell position and orientation. Stem cell systems are exquisitely controlled through feedback mechanisms. Elucidating answers to either of these problems involves the application of population biology ideas and mathematical models.
Mammalian blastocyst cell organisation
Early mammalian development involves the formation of different cell types (trophectoderm, inner cell mass) we are interested in how this occurs through the geometrical and spatial orientation of cells. Mathematical models predict that differences in cell allocation to trophectoderm or inner cell mass are determined by cell position more than cell geometry.
Stem cell systems
Stem cell systems are thought be to be highly regulated. However, understanding the feedback processes and mechanisms involves an appreciation for both deterministic and stochastic processes. We are interested in exploring how different forms of uncertainty affect stem cell population dynamics.
Leukaemia and stem cell dynamics
As part of our broader goal to understand the dynamics of stem cell systems, understanding how and why these systems malfunction is a goal. Focusing on the hametopoietic system and leukaemia we are interested in developing mathematical models to predict and understand how important evolutionary and ecological principles are important in the dynamics of these sorts of cancers.